Physics - Magnetism Question with Solution | TestHub

Two circular coils$\mathrm{X}$and$\mathrm{Y}$have the equal number of turns and carry equal currents in the same sense and subtend same solid angle at the point$\mathrm{O}$. If the smaller coil$\mathrm{X}$is midway between$\mathrm{O}$and$\mathrm{Y}$, then if we represent the magnetic induction due to bigger coil$\mathrm{Y}$at$\mathrm{O}$as$B_{\mathrm{Y}}$and that due to smaller coil$\mathrm{X}$at$\mathrm{O }$as$B_{\mathrm{x}}$, then :